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Finding the Fourth Proportional to 3,409.07, 4,704.99 and 2,150.69

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Solution

The fourth proportional to 3,409.07, 4,704.99 and 2,150.69 is: 2,968.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.07 : 4,704.99 = 2,150.69 : x
  2. Step 2: Convert to fraction form
    3,409.07/4,704.99 = 2,150.69/x
  3. Step 3: Cross multiply
    3,409.07x = 4,704.99 × 2,150.69
  4. Step 4: Simplify right side
    3,409.07x = 10,118,974.94
  5. Step 5: Solve for x
    x = 10,118,974.94/3,409.07
  6. Step 6: Final answer
    x = 2,968.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.